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Finding the Third Proportional to 830,775 and 1,801,518

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Solution

The third proportional to 830,775 and 1,801,518 is: 3,906,553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,775 : 1,801,518 = 1,801,518 : x
  2. Step 2: Convert to fraction form
    830,775/1,801,518 = 1,801,518/x
  3. Step 3: Cross multiply
    830,775x = 1,801,518 × 1,801,518
  4. Step 4: Simplify right side
    830,775x = 3,245,467,104,324
  5. Step 5: Solve for x
    x = 3,245,467,104,324/830,775
  6. Step 6: Final answer
    x = 3,906,553.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.